Question
Download Solution PDFFind the probability that a leap year will have 53 Fridays or 53 Saturdays:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
We need to find the probability that a leap year will have 53 Fridays or 53 Saturdays.
Formula Used:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Calculation:
A leap year has 366 days.
Number of weeks in a leap year = 366 / 7 = 52 weeks and 2 days.
So, a leap year has 52 weeks and 2 extra days.
The 2 extra days can be:
1. Sunday and Monday
2. Monday and Tuesday
3. Tuesday and Wednesday
4. Wednesday and Thursday
5. Thursday and Friday
6. Friday and Saturday
7. Saturday and Sunday
To have 53 Fridays or 53 Saturdays, the 2 extra days can be:
1. Thursday and Friday (for 53 Fridays)
2. Friday and Saturday (for 53 Fridays and 53 Saturdays)
3. Saturday and Sunday (for 53 Saturdays)
Number of favorable outcomes = 3
Total number of possible outcomes = 7
⇒ Probability = 3 / 7
∴ The probability that a leap year will have 53 Fridays or 53 Saturdays is 3/7.
Last updated on May 10, 2025
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